On the Crack Energy Density and Energy Release Rate for an Elastic-Plastic Crack

The Elastic-plastic Mechanics of Crack Extension

This paper briefly reviews progres~ in the elastic plastic analysis of crack extension. Analytical results for plane strain and plane stress deformation fields are noted, and elastic-plastic fracture instability as well as transitional behavior and combined rate and thermal effects are discussed.

Continuing Crack-tip Deformation and Fracture for Plane-strain Crack Growth in Elastic-plastic Solids

ANALYSIS of the deformation field consistent with a Prandtl stress distribution travelling with an advancing plane-strain crack reveals the functional form of the near tip crack profile in an elastic-plastic solid. The crack opening 6 is shown to have the form 6 N r In (const./r) at a distance r from the tip. This observation coupled with data generated from finite element investigations of gro...

On Global Energy Release Rate of a Permeable Crack in a Piezoelectric Ceramic

A permeable crack model is proposed to analyze crack growth in a piezoelectric ceramic. In this model, a permeable crack is modeled as a vanishing thin, finite dimension, rectangular slit with dielectric medium inside. A first-order approximation solution is derived in terms of the slit height, h0 . The main contribution of this paper is that the newly proposed permeable crack model reveals tha...

Principle of Maximum Energy Dissipation Rate in Crack Dynamics

THE PRINCIPLE of maximum energy dissipation rate is introduced as an energy criterion for crack dynamics. That allows us to explain observed limiting crack speeds in brittle materials, and to complete the crack dynamics formulation. The upper limits of the crack speed in perfectly elastic and elastic-plastic bodies are obtained. It is found that the theoretical maximum crack speed in an isotrop...

Brittle Crack Propagation Based on an Optimal Energy Balance